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Sav [38]
3 years ago
13

What is A, B, and C?

Mathematics
1 answer:
marta [7]3 years ago
5 0

Answer:

A = 46

B = 134

C = 78

Step-by-step explanation:

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Alvarez has $650 deposited into his bank account. The account earns simple interest of 5. 5% per year. No other money is added o
Elena-2011 [213]

Answer:

  $793

Step-by-step explanation:

The amount of money in an account earning simple interest is given by the formula ...

  A = P(1 +rt)

where P is the principal invested at rate r for t years.

__

Using the values given in the problem statement, the account balance can be found to be ...

  A = $650(1 +0.055×4) = $650×1.22 = $793

There will be $793 in the account after 4 years.

4 0
2 years ago
What are the last three terms of the binomial expansion 32x³ + 80x'y + 80x³y² +
Gnesinka [82]

The last three terms of the given binomial expansion are 40x²y³ + 10xy⁴ + y⁵

<h3>Binomial expansion</h3>

From the question, we are to determine the last three terms of the binomial expansion 32x⁵ + 80x⁴y + 80x³y² + __ + __ + __

The highest power of the expansion is 5

Using the binomial expansion theorem

(m +n)⁵ = m⁵ + 5m⁴n + 10m³n² + 10m²n³ + 5mn⁴ + n⁵

Now, we will determine the values of m and n by comparison

By comparison,

m⁵ = 32x⁵

m⁵ = (2x)⁵

∴ m = 2x

Also,

5m⁴n = 80x⁴y

Divide both sides by 5, to get

m⁴n = 16x⁴y

Put m = 2x into the equation

(2x)⁴n = 16x⁴y

16x⁴n = 16x⁴y

∴ n = y

Thus, the expression being expanded is (2x + y)⁵

By binomial expansion, the expansion of (2x + y)⁵  is

(2x + y)⁵ = (2x)⁵ + 5(2x)⁴y + 10(2x)³(y)² + 10(2x)²(y)³ + 5(2x)(y)⁴ + y⁵

(2x + y)⁵ = 32x⁵ + (5×16)x⁴y + (10×8)x³(y)² + (10×4)x²(y)³ + (5×2)x(y)⁴ + y⁵

(2x + y)⁵ = 32x⁵ + 80x⁴y + 80x³y² + 40x²y³ + 10xy⁴ + y⁵

Hence, the last three terms of the given binomial expansion are 40x²y³ + 10xy⁴ + y⁵

Learn more on Binomial expansion here: brainly.com/question/13602562

#SPJ1

8 0
2 years ago
Primo car rental agency charges $50 per day plus $0.30 per mile. Ultimo car rental agency charges $20 per day plus $0.70 per mil
olasank [31]

Answer:

cdcdc

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Please I need help !!!!
frez [133]

Answer:

The first one is c the second is b

3 0
2 years ago
3a^5 x 5a^3 divided by 10a^4
Andrei [34K]

Answer:

1.5 a^4

Step-by-step explanation:

taking only numbers 3*5=15

15/10 = 1.5

taking a powers

a ^ (5+3-4)= a^4

1.5 a^4

7 0
2 years ago
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